Math · Unit 2 · Weeks 7–12 · 30–40 min

Scoring Guide: Multiplication & Division Facts

49 points total

Part 1: Multiplication Facts & Strategies

15 points

Write the product. Show your strategy when the item asks.

1.
(a) 6 × 4 = ____ (b) 3 × 9 = ____
(2 pts)
Answer: (a) 24 (b) 27
2.
(a) 8 × 7 = ____ (b) 9 × 6 = ____
(2 pts)
Answer: (a) 56 (b) 54
3.
(a) 7 × 3 = ____ (b) 4 × 8 = ____
(2 pts)
Answer: (a) 21 (b) 32
4.
(a) 6 × 6 = ____ (b) 9 × 7 = ____
(2 pts)
Answer: (a) 36 (b) 63
5.
Use double-double to find 4 × 7. Show both doubles.
(2 pts)
Answer: 28. Double 7 is 14; double 14 is 28.
6.
Break apart 8 × 6 into 5 × 6 and 3 × 6. Add the two products. What is 8 × 6?
(2 pts)
Answer: 5 × 6 = 30 and 3 × 6 = 18; 30 + 18 = 48.
7.
Explain how 10 × 4 helps you find 9 × 4. What is 9 × 4?
(3 pts)
Answer: 36. Look for: 10 × 4 is 40; 9 groups of 4 is one group fewer, so 40 − 4 = 36.

Scoring: Items 1–4: 1 point for each fact. Items 5–6: 2 points for the right product with the steps shown; 1 point for the steps with a slip, or the product with no steps. Item 7: 3 points for 36 with "40 minus one group of 4"; 2 points for 36 with another correct strategy; 1 point for 36 only.

Reteach if needed: Week 7, Week 8, Week 9. Week 7 Days 1–4 (×3 as a double plus one group, ×4 double-double, ×6 from ×3 or ×5), Week 8 Days 1–4 (×7 break apart, ×8 double the ×4, ×9 as ×10 minus one group) and Week 9 Day 4 (choosing a strategy).

Part 2: What Division Means

10 points

Draw, write or explain.

8.
Draw 24 dots shared equally into 4 groups. How many dots are in each group? Write the division sentence.
(2 pts)
Answer: 6 in each group; 24 ÷ 4 = 6
9.
35 shells are put into bags, 5 shells in each bag. (a) Is this sharing or grouping? (b) How many bags?
(2 pts)
Answer: (a) Grouping (the size of each group is known) (b) 7 bags
10.
In 42 ÷ 6 = 7, name the dividend, the divisor and the quotient.
(3 pts)
Answer: Dividend 42, divisor 6, quotient 7
11.
Write a division story for 20 ÷ 5. Then solve it.
(3 pts)
Answer: Answers vary. Look for: a total of 20 put into 5 equal groups or into groups of 5, and the answer 4.

Scoring: Items 1–2: 1 point for each part, or 1 point for the answer and 1 point for the sentence. Item 3: 1 point for each correct name. Item 4: 3 points for a story with 20 things, 5 equal groups (or groups of 5) and the answer 4; 2 points if one piece is missing; 1 point for the answer only.

Reteach if needed: Week 10. Week 10 Days 1–2 (sharing and grouping with counters) and Week 10 Day 3 (dividend, divisor and quotient).

Part 3: Division Facts & Fact Families

11 points

Write the quotient or the facts.

12.
Write the fact family for 8, 6 and 48.
(2 pts)
Answer: 6 × 8 = 48, 8 × 6 = 48, 48 ÷ 6 = 8, 48 ÷ 8 = 6
13.
(a) 24 ÷ 3 = ____ (b) 49 ÷ 7 = ____
(2 pts)
Answer: (a) 8 (b) 7
14.
(a) 64 ÷ 8 = ____ (b) 90 ÷ 10 = ____
(2 pts)
Answer: (a) 8 (b) 9
15.
(a) 27 ÷ 9 = ____ (b) 32 ÷ 4 = ____
(2 pts)
Answer: (a) 3 (b) 8
16.
Explain how a multiplication fact helps you solve 63 ÷ 7. What is 63 ÷ 7?
(3 pts)
Answer: 9. Look for: think 7 × ? = 63; 7 × 9 = 63 (or 9 × 7 = 63), so 63 ÷ 7 = 9.

Scoring: Item 1: 2 points for all four facts; 1 point for two or three facts. Items 2–4: 1 point for each fact. Item 5: 1 point for 9, 1 point for the matching multiplication fact and 1 point for explaining that 7 times the answer must make 63.

Reteach if needed: Week 10, Week 11. Week 10 Day 4 (fact families) and Week 11 Days 1–4 (÷2, ÷5, ÷10, then ÷3 and ÷4, ÷6 and ÷7, ÷8 and ÷9).

Part 4: Word Problems & Unknown Numbers

13 points

Solve. Draw a picture if it helps. Write the answer with a word.

17.
Find the unknown number. (a) ? × 6 = 48 (b) 56 ÷ ? = 8
(2 pts)
Answer: (a) 8 (b) 7
18.
Find the unknown number. (a) ? ÷ 4 = 9 (b) 5 × ? = 35
(2 pts)
Answer: (a) 36 (b) 7
19.
A baker puts 8 rolls in each bag. She fills 7 bags. How many rolls does she use?
(2 pts)
Answer: 56 rolls (7 × 8 = 56)
20.
54 children stand in 6 equal lines. How many children are in each line?
(2 pts)
Answer: 9 children (54 ÷ 6 = 9)
21.
Mr. Lee has 72 chairs. He sets them in rows of 9. Write an equation with ? for the unknown. How many rows are there?
(2 pts)
Answer: 72 ÷ 9 = ? (or 9 × ? = 72); 8 rows
22.
Tia says that 4 × ? = 36 and 36 ÷ 4 = ? have the same unknown number. Is Tia right? Find the number and explain.
(3 pts)
Answer: Yes. The number is 9. Look for: 4 × 9 = 36 and 36 ÷ 4 = 9 are in the same fact family; division undoes multiplication.

Scoring: Items 1–2: 1 point for each unknown. Items 3–4: 2 points for the right answer; 1 point for the right operation with a fact slip. Item 5: 1 point for a correct equation and 1 point for 8 rows. Item 6: 3 points for "yes," 9 and a fact-family or "division undoes multiplication" reason; 2 points for 9 with a weak reason; 1 point for 9 only.

Reteach if needed: Week 12. Week 12 Days 1–3 (equal-groups, sharing and grouping word problems) and Week 12 Day 4 (choosing × or ÷ and finding the unknown number).

Score box

Part	Points earned	Possible
1. Multiplication Facts & Strategies		15
2. What Division Means		10
3. Division Facts & Fact Families		11
4. Word Problems & Unknown Numbers		13
Total		49

Level: Enter points to see the level.

D · Developing: 0–24
A · Approaching: 25–34
P · Proficient: 35–44
E · Exceeding: 45–49